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3 years ago

You asked amusement park visitors the question “How many times did you ride the Ferris wheel today?” as they left the park.

2 answers:

8 0

Draw an xy axis. On the x axis, put "number of times person rode the Ferris wheel" or something along those lines. For the y axis, put "frequency". For x = 5, you'll have four dots stacked on top of each other at this x value. I suggest having a slight gap between each dot so you can tell them apart. The four dots represent the four people who said they rode the Ferris wheel five times

DiKsa [7]3 years ago

3 0

The number line of the dot plot would show the number of times riding a Ferris wheel. Four dots would be placed above the “5” to show the 4 people.

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How to learn math faster?

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3 years ago

I need help proving this ASAP

Ket [755]

Answer:

See explanation

Step-by-step explanation:

We want to show that:

$\tan(x + \frac{3\pi}{2} ) = - \cot \: x$

One way is to use the basic double angle formula:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) \cos( \frac{3\pi}{2} ) + \cos(x) \sin( \frac{3\pi}{2}) }{\cos(x) \cos( \frac{3\pi}{2} ) - \sin(x) \sin( \frac{3\pi}{2}) }$

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) ( 0) + \cos(x) ( - 1) }{\cos(x) (0) - \sin(x) ( - 1) }$

We simplify further to get:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ 0 - \cos(x) }{0 + \sin(x) }$

We simplify again to get;

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{- \cos(x) }{ \sin(x) }$

This finally gives:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = - \cot(x)$

6 0

4 years ago

Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12

STatiana [176]

ANSWER: x=5/3, -1. Good luck. Hope this suffices.

Explanation for x=-1: |9x-3|=12. Lets take the absolute value brackets away for a sec. Add 3 to both sides 9x-3+3=-12+3, simplify: 9x=-9, divide both sides by nine:9x/9=-9/9. And that means that x=-1.

Explanation for x=5/3: |9x-3|=12. Add 3. 9x-3+3=12+3. Simplify: 9x=15. Divide both sides by 9. 9x/9=15/9. Simplify: x=5/3

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3 years ago

Topic : Geometry Can someone tell me what Conic sections is in 4-8 sentences ?

krok68 [10]

Conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, previously called the fourth type. Planes that pass through the vertex of the cone will intersect the cone in a point, a line or a pair of intersecting lines, called degenerate conics.

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2 years ago

73km 47hm 2dam - 11km 55hm

zvonat [6]

Answer

6,122 hm

Explanation

You can carry out operations on the like terms only. So convert all units to one unit.

I will convert them to dam

1 km =100 dam

73 km = 73 × 100

=7,300 dam

11 km = 11× 100

1100 dam

1 hm = 10 dam

47 hm = 47 × 10

= 470 dam

55 hm = 55× 10

= 550 dam

73km 47hm 2dam - 11km 55hm = (7300+ 470+2) - (1100+550)

= 7,772 - 1,650

= 6,122 hm

8 0

3 years ago